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Finding the Fourth Proportional to 592.07, 817.57 and 371.40

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Solution

The fourth proportional to 592.07, 817.57 and 371.40 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.07 : 817.57 = 371.40 : x
  2. Step 2: Convert to fraction form
    592.07/817.57 = 371.40/x
  3. Step 3: Cross multiply
    592.07x = 817.57 × 371.40
  4. Step 4: Simplify right side
    592.07x = 303,645.50
  5. Step 5: Solve for x
    x = 303,645.50/592.07
  6. Step 6: Final answer
    x = 512.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.